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The Griffiths phase has been proposed to induce a stretched critical regime that facilitates self-organizing of brain networks for optimal function. This phase stems from the intrinsic structural heterogeneity of brain networks, such as the…

无序系统与神经网络 · 物理学 2017-03-15 Shanshan Li

Volumetric brain reconstructions provide an unprecedented opportunity to gain insights into the complex connectivity patterns of neurons in an increasing number of organisms. Here, we model and quantify the complexity of the resulting…

神经元与认知 · 定量生物学 2024-05-13 Anastasiya Salova , István A. Kovács

The understanding of synchronization ranging from natural to social systems has driven the interests of scientists from different disciplines. Here, we have investigated the synchronization dynamics of the Kuramoto dynamics departing from…

无序系统与神经网络 · 物理学 2009-09-29 Jie Ren , Huijie Yang

The continuous integration of experimental data into coherent models of the brain is an increasing challenge of modern neuroscience. Such models provide a bridge between structure and activity, and identify the mechanisms giving rise to…

神经元与认知 · 定量生物学 2017-03-03 Jannis Schuecker , Maximilian Schmidt , Sacha J. van Albada , Markus Diesmann , Moritz Helias

Based on recent advances in fibration symmetry theory, we investigate how structural symmetries influence synchronization in systems with higher-order interactions (HOI). Using bipartite graph representations, we identify a node partition…

动力系统 · 数学 2026-01-12 Margherita Bertè , Tommaso Gili

The Kuramoto model for an ensemble of coupled oscillators provides a paradigmatic example of non-equilibrium transitions between an incoherent and a synchronized state. Here we analyze populations of almost identical oscillators in…

无序系统与神经网络 · 物理学 2013-05-30 Luce Prignano , Albert Diaz Guilera

In order to understand the complex cognitive functions of the human brain, it is essential to study the structural connectome, i.e., the wiring of different brain regions to each other through axonal pathways. However, the high degree of…

神经元与认知 · 定量生物学 2021-01-25 Anand Pathak , Shakti N. Menon , Sitabhra Sinha

Coupled oscillators have been used to study synchronization in a wide range of social, biological, and physical systems, including pedestrian-induced bridge resonances, coordinated lighting up of firefly swarms, and enhanced output peak…

适应与自组织系统 · 物理学 2021-11-01 Can Xu , Xiaohuan Tang , Huaping Lü , Karin Alfaro-Bittner , Stefano Boccaletti , Matjaz Perc , Shuguang Guan

Structural and functional heterogeneity are hallmarks of cortical circuits, from broad degree distributions in the mouse connectome to diverse intrinsic neuronal timescales. Yet a mechanistic link between connectivity heterogeneity and…

神经元与认知 · 定量生物学 2026-03-05 Marco Zenari , Luca Taffarello , Luca Mazzucato , Amos Maritan , Samir Suweis

We study the phase synchronization of Kuramoto's oscillators in small parts of networks known as motifs. We first report on the system dynamics for the case of a scale-free network and show the existence of a non-trivial critical point. We…

统计力学 · 物理学 2009-11-10 Yamir Moreno , Miguel Vazquez-Prada , Amalio F. Pacheco

Synchronization is an important phenomenon in a wide variety of systems comprising interacting oscillatory units, whether natural (like neurons, biochemical reactions, cardiac cells) or artificial (like metronomes, power grids, Josephson…

适应与自组织系统 · 物理学 2025-01-13 Guilherme S. Costa , Marcel Novaes , Marcus A. M. de Aguiar

Synchronization is a universal phenomenon found in many non-equilibrium systems. Much recent interest in this area has overlapped with the study of complex networks, where a major focus is determining how a system's connectivity patterns…

适应与自组织系统 · 物理学 2015-08-19 Jason Hindes , Christopher R. Myers

Large-scale white matter pathways crisscrossing the cortex create a complex pattern of connectivity that underlies human cognitive function. Generative mechanisms for this architecture have been difficult to identify in part because little…

神经元与认知 · 定量生物学 2015-06-16 Florian Klimm , Danielle S. Bassett , Jean M. Carlson , Peter J. Mucha

Understanding how cortex, subcortex and cerebellum integrate is a major challenge for neuroscience, however, studies of the brain's structural connectivity have mostly focused on cortico-cortical links. Here, we used diffusion imaging to…

神经元与认知 · 定量生物学 2025-10-21 Julian Schulte , Mario Senden , Gustavo Deco , Xenia Kobeleva , Gorka Zamora-López

Criticality can be exactly demonstrated in certain models of brain activity, yet it remains challenging to identify in empirical data. We trained a fully connected deep neural network to learn the phases of an excitable model unfolding on…

神经元与认知 · 定量生物学 2022-06-13 Hernan Bocaccio , Enzo Tagliazucchi

Brain development during adolescence is marked by substantial changes in brain structure and function, leading to a stable network topology in adulthood. However, most prior work has examined the data through the lens of brain areas…

Human brain functional connectivity (FC) is often measured as the similarity of functional MRI responses across brain regions when a brain is either resting or performing a task. This paper aims to statistically analyze the dynamic nature…

计算机视觉与模式识别 · 计算机科学 2024-10-30 Mengyu Dai , Zhengwu Zhang , Anuj Srivastava

The characterisation of the brain as a "connectome", in which the connections are represented by correlational values across timeseries and as summary measures derived from graph theory analyses, has been very popular in the last years.…

机器学习 · 计算机科学 2020-03-13 Tiago Azevedo , Luca Passamonti , Pietro Liò , Nicola Toschi

The structural human connectome (i.e.\ the network of fiber connections in the brain) can be analyzed at ever finer spatial resolution thanks to advances in neuroimaging. Here we analyze several large data sets for the human brain network…

神经元与认知 · 定量生物学 2016-06-08 Michael T. Gastner , Géza Ódor

The combination of the compactness of networks, featuring small diameters, and their complex architectures results in a variety of critical effects dramatically different from those in cooperative systems on lattices. In the last few years,…

统计力学 · 物理学 2009-11-13 S. N. Dorogovtsev , A. V. Goltsev , J. F. F. Mendes